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Finding the Fourth Proportional to 413,559.30, 570,711.96 and 232,271.49

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Solution

The fourth proportional to 413,559.30, 570,711.96 and 232,271.49 is: 320,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,559.30 : 570,711.96 = 232,271.49 : x
  2. Step 2: Convert to fraction form
    413,559.30/570,711.96 = 232,271.49/x
  3. Step 3: Cross multiply
    413,559.30x = 570,711.96 × 232,271.49
  4. Step 4: Simplify right side
    413,559.30x = 132,560,117,310.02
  5. Step 5: Solve for x
    x = 132,560,117,310.02/413,559.30
  6. Step 6: Final answer
    x = 320,534.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.